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diff --git a/boost/math/interpolators/barycentric_rational.hpp b/boost/math/interpolators/barycentric_rational.hpp
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+/*
+ *  Copyright Nick Thompson, 2017
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ *  Given N samples (t_i, y_i) which are irregularly spaced, this routine constructs an
+ *  interpolant s which is constructed in O(N) time, occupies O(N) space, and can be evaluated in O(N) time.
+ *  The interpolation is stable, unless one point is incredibly close to another, and the next point is incredibly far.
+ *  The measure of this stability is the "local mesh ratio", which can be queried from the routine.
+ *  Pictorially, the following t_i spacing is bad (has a high local mesh ratio)
+ *  ||             |      | |                           |
+ *  and this t_i spacing is good (has a low local mesh ratio)
+ *  |   |      |    |     |    |        |    |  |    |
+ *
+ *
+ *  If f is C^{d+2}, then the interpolant is O(h^(d+1)) accurate, where d is the interpolation order.
+ *  A disadvantage of this interpolant is that it does not reproduce rational functions; for example, 1/(1+x^2) is not interpolated exactly.
+ *
+ *  References:
+ *  Floater, Michael S., and Kai Hormann. "Barycentric rational interpolation with no poles and high rates of approximation." Numerische Mathematik 107.2 (2007): 315-331.
+ *  Press, William H., et al. "Numerical recipes third edition: the art of scientific computing." Cambridge University Press 32 (2007): 10013-2473.
+ */
+
+#ifndef BOOST_MATH_INTERPOLATORS_BARYCENTRIC_RATIONAL_HPP
+#define BOOST_MATH_INTERPOLATORS_BARYCENTRIC_RATIONAL_HPP
+
+#include <memory>
+#include <boost/math/interpolators/detail/barycentric_rational_detail.hpp>
+
+namespace boost{ namespace math{
+
+template<class Real>
+class barycentric_rational
+{
+public:
+    barycentric_rational(const Real* const x, const Real* const y, size_t n, size_t approximation_order = 3);
+
+    template <class InputIterator1, class InputIterator2>
+    barycentric_rational(InputIterator1 start_x, InputIterator1 end_x, InputIterator2 start_y, size_t approximation_order = 3, typename boost::disable_if_c<boost::is_integral<InputIterator2>::value>::type* = 0);
+
+    Real operator()(Real x) const;
+
+private:
+    std::shared_ptr<detail::barycentric_rational_imp<Real>> m_imp;
+};
+
+template <class Real>
+barycentric_rational<Real>::barycentric_rational(const Real* const x, const Real* const y, size_t n, size_t approximation_order):
+ m_imp(std::make_shared<detail::barycentric_rational_imp<Real>>(x, x + n, y, approximation_order))
+{
+    return;
+}
+
+template <class Real>
+template <class InputIterator1, class InputIterator2>
+barycentric_rational<Real>::barycentric_rational(InputIterator1 start_x, InputIterator1 end_x, InputIterator2 start_y, size_t approximation_order, typename boost::disable_if_c<boost::is_integral<InputIterator2>::value>::type*)
+ : m_imp(std::make_shared<detail::barycentric_rational_imp<Real>>(start_x, end_x, start_y, approximation_order))
+{
+}
+
+template<class Real>
+Real barycentric_rational<Real>::operator()(Real x) const
+{
+    return m_imp->operator()(x);
+}
+
+
+}}
+#endif